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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.analysis.interpolation;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import org.apache.commons.math3.analysis.UnivariateFunction;<a name="line.19"></a>
<FONT color="green">020</FONT>    import org.apache.commons.math3.util.MathUtils;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.util.MathArrays;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.exception.NumberIsTooSmallException;<a name="line.22"></a>
<FONT color="green">023</FONT>    <a name="line.23"></a>
<FONT color="green">024</FONT>    /**<a name="line.24"></a>
<FONT color="green">025</FONT>     * Adapter for classes implementing the {@link UnivariateInterpolator}<a name="line.25"></a>
<FONT color="green">026</FONT>     * interface.<a name="line.26"></a>
<FONT color="green">027</FONT>     * The data to be interpolated is assumed to be periodic. Thus values that are<a name="line.27"></a>
<FONT color="green">028</FONT>     * outside of the range can be passed to the interpolation function: They will<a name="line.28"></a>
<FONT color="green">029</FONT>     * be wrapped into the initial range before being passed to the class that<a name="line.29"></a>
<FONT color="green">030</FONT>     * actually computes the interpolation.<a name="line.30"></a>
<FONT color="green">031</FONT>     *<a name="line.31"></a>
<FONT color="green">032</FONT>     * @version $Id: UnivariatePeriodicInterpolator.java 1379904 2012-09-01 23:54:52Z erans $<a name="line.32"></a>
<FONT color="green">033</FONT>     */<a name="line.33"></a>
<FONT color="green">034</FONT>    public class UnivariatePeriodicInterpolator<a name="line.34"></a>
<FONT color="green">035</FONT>        implements UnivariateInterpolator {<a name="line.35"></a>
<FONT color="green">036</FONT>        /** Default number of extension points of the samples array. */<a name="line.36"></a>
<FONT color="green">037</FONT>        public static final int DEFAULT_EXTEND = 5;<a name="line.37"></a>
<FONT color="green">038</FONT>        /** Interpolator. */<a name="line.38"></a>
<FONT color="green">039</FONT>        private final UnivariateInterpolator interpolator;<a name="line.39"></a>
<FONT color="green">040</FONT>        /** Period. */<a name="line.40"></a>
<FONT color="green">041</FONT>        private final double period;<a name="line.41"></a>
<FONT color="green">042</FONT>        /** Number of extension points. */<a name="line.42"></a>
<FONT color="green">043</FONT>        private final int extend;<a name="line.43"></a>
<FONT color="green">044</FONT>    <a name="line.44"></a>
<FONT color="green">045</FONT>        /**<a name="line.45"></a>
<FONT color="green">046</FONT>         * Builds an interpolator.<a name="line.46"></a>
<FONT color="green">047</FONT>         *<a name="line.47"></a>
<FONT color="green">048</FONT>         * @param interpolator Interpolator.<a name="line.48"></a>
<FONT color="green">049</FONT>         * @param period Period.<a name="line.49"></a>
<FONT color="green">050</FONT>         * @param extend Number of points to be appended at the beginning and<a name="line.50"></a>
<FONT color="green">051</FONT>         * end of the sample arrays in order to avoid interpolation failure at<a name="line.51"></a>
<FONT color="green">052</FONT>         * the (periodic) boundaries of the orginal interval. The value is the<a name="line.52"></a>
<FONT color="green">053</FONT>         * number of sample points which the original {@code interpolator} needs<a name="line.53"></a>
<FONT color="green">054</FONT>         * on each side of the interpolated point.<a name="line.54"></a>
<FONT color="green">055</FONT>         */<a name="line.55"></a>
<FONT color="green">056</FONT>        public UnivariatePeriodicInterpolator(UnivariateInterpolator interpolator,<a name="line.56"></a>
<FONT color="green">057</FONT>                                              double period,<a name="line.57"></a>
<FONT color="green">058</FONT>                                              int extend) {<a name="line.58"></a>
<FONT color="green">059</FONT>            this.interpolator = interpolator;<a name="line.59"></a>
<FONT color="green">060</FONT>            this.period = period;<a name="line.60"></a>
<FONT color="green">061</FONT>            this.extend = extend;<a name="line.61"></a>
<FONT color="green">062</FONT>        }<a name="line.62"></a>
<FONT color="green">063</FONT>    <a name="line.63"></a>
<FONT color="green">064</FONT>        /**<a name="line.64"></a>
<FONT color="green">065</FONT>         * Builds an interpolator.<a name="line.65"></a>
<FONT color="green">066</FONT>         * Uses {@link #DEFAULT_EXTEND} as the number of extension points on each side<a name="line.66"></a>
<FONT color="green">067</FONT>         * of the original abscissae range.<a name="line.67"></a>
<FONT color="green">068</FONT>         *<a name="line.68"></a>
<FONT color="green">069</FONT>         * @param interpolator Interpolator.<a name="line.69"></a>
<FONT color="green">070</FONT>         * @param period Period.<a name="line.70"></a>
<FONT color="green">071</FONT>         */<a name="line.71"></a>
<FONT color="green">072</FONT>        public UnivariatePeriodicInterpolator(UnivariateInterpolator interpolator,<a name="line.72"></a>
<FONT color="green">073</FONT>                                              double period) {<a name="line.73"></a>
<FONT color="green">074</FONT>            this(interpolator, period, DEFAULT_EXTEND);<a name="line.74"></a>
<FONT color="green">075</FONT>        }<a name="line.75"></a>
<FONT color="green">076</FONT>    <a name="line.76"></a>
<FONT color="green">077</FONT>        /**<a name="line.77"></a>
<FONT color="green">078</FONT>         * {@inheritDoc}<a name="line.78"></a>
<FONT color="green">079</FONT>         *<a name="line.79"></a>
<FONT color="green">080</FONT>         * @throws NumberIsTooSmallException if the number of extension points<a name="line.80"></a>
<FONT color="green">081</FONT>         * iss larger then the size of {@code xval}.<a name="line.81"></a>
<FONT color="green">082</FONT>         */<a name="line.82"></a>
<FONT color="green">083</FONT>        public UnivariateFunction interpolate(double[] xval,<a name="line.83"></a>
<FONT color="green">084</FONT>                                              double[] yval)<a name="line.84"></a>
<FONT color="green">085</FONT>            throws NumberIsTooSmallException {<a name="line.85"></a>
<FONT color="green">086</FONT>            if (xval.length &lt; extend) {<a name="line.86"></a>
<FONT color="green">087</FONT>                throw new NumberIsTooSmallException(xval.length, extend, true);<a name="line.87"></a>
<FONT color="green">088</FONT>            }<a name="line.88"></a>
<FONT color="green">089</FONT>    <a name="line.89"></a>
<FONT color="green">090</FONT>            MathArrays.checkOrder(xval);<a name="line.90"></a>
<FONT color="green">091</FONT>            final double offset = xval[0];<a name="line.91"></a>
<FONT color="green">092</FONT>    <a name="line.92"></a>
<FONT color="green">093</FONT>            final int len = xval.length + extend * 2;<a name="line.93"></a>
<FONT color="green">094</FONT>            final double[] x = new double[len];<a name="line.94"></a>
<FONT color="green">095</FONT>            final double[] y = new double[len];<a name="line.95"></a>
<FONT color="green">096</FONT>            for (int i = 0; i &lt; xval.length; i++) {<a name="line.96"></a>
<FONT color="green">097</FONT>                final int index = i + extend;<a name="line.97"></a>
<FONT color="green">098</FONT>                x[index] = MathUtils.reduce(xval[i], period, offset);<a name="line.98"></a>
<FONT color="green">099</FONT>                y[index] = yval[i];<a name="line.99"></a>
<FONT color="green">100</FONT>            }<a name="line.100"></a>
<FONT color="green">101</FONT>    <a name="line.101"></a>
<FONT color="green">102</FONT>            // Wrap to enable interpolation at the boundaries.<a name="line.102"></a>
<FONT color="green">103</FONT>            for (int i = 0; i &lt; extend; i++) {<a name="line.103"></a>
<FONT color="green">104</FONT>                int index = xval.length - extend + i;<a name="line.104"></a>
<FONT color="green">105</FONT>                x[i] = MathUtils.reduce(xval[index], period, offset) - period;<a name="line.105"></a>
<FONT color="green">106</FONT>                y[i] = yval[index];<a name="line.106"></a>
<FONT color="green">107</FONT>    <a name="line.107"></a>
<FONT color="green">108</FONT>                index = len - extend + i;<a name="line.108"></a>
<FONT color="green">109</FONT>                x[index] = MathUtils.reduce(xval[i], period, offset) + period;<a name="line.109"></a>
<FONT color="green">110</FONT>                y[index] = yval[i];<a name="line.110"></a>
<FONT color="green">111</FONT>            }<a name="line.111"></a>
<FONT color="green">112</FONT>    <a name="line.112"></a>
<FONT color="green">113</FONT>            MathArrays.sortInPlace(x, y);<a name="line.113"></a>
<FONT color="green">114</FONT>    <a name="line.114"></a>
<FONT color="green">115</FONT>            final UnivariateFunction f = interpolator.interpolate(x, y);<a name="line.115"></a>
<FONT color="green">116</FONT>            return new UnivariateFunction() {<a name="line.116"></a>
<FONT color="green">117</FONT>                public double value(final double x) {<a name="line.117"></a>
<FONT color="green">118</FONT>                    return f.value(MathUtils.reduce(x, period, offset));<a name="line.118"></a>
<FONT color="green">119</FONT>                }<a name="line.119"></a>
<FONT color="green">120</FONT>            };<a name="line.120"></a>
<FONT color="green">121</FONT>        }<a name="line.121"></a>
<FONT color="green">122</FONT>    }<a name="line.122"></a>




























































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